集束弹道湮灭中的非普适性
Non-universality in clustered ballistic annihilation
摘要：
在弹道湮灭中，无穷多个粒子以随机分配的速度穿过实数线，并在接触时相互湮灭。我们介绍了一个变种与叠加集群的多个固定粒子。我们的主要结果是，临界初始集群密度，以确保物种的生存依赖于集群大小的均值和方差。我们的结果与最近的弹道湮灭普遍性的结果相对于粒子间距。我们定理的一个推论解决了聚结弹道湮灭的一个悬而未决的问题。
英文摘要：
In ballistic annihilation, infinitely many particles with randomly assigned velocities move across the real line and mutually annihilate upon contact. We introduce a variant with superimposed clusters of multiple stationary particles. Our main result is that the critical initial cluster density to ensure species survival depends on both the mean and variance of the cluster size. Our result contrasts with recent ballistic annihilation universality findings with respect to particle spacings. A corollary of our theorem resolves an open question for coalescing ballistic annihilation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
